#8005: powers of elements in a QuotientRing
---------------------------+------------------------------------------------
       Reporter:  wjp      |         Owner:  AlexGhitza                    
           Type:  defect   |        Status:  positive_review               
       Priority:  major    |     Milestone:  sage-duplicate/invalid/wontfix
      Component:  algebra  |    Resolution:                                
       Keywords:           |   Work issues:                                
Report Upstream:  N/A      |     Reviewers:  Christian Nassau              
        Authors:           |     Merged in:                                
   Dependencies:           |      Stopgaps:                                
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Changes (by cnassau):

  * status:  needs_review => positive_review
  * reviewer:  => Christian Nassau


Comment:

 This is with Sage 5.7beta0 where everything seems to work as expected:
 {{{
 sage: F = GF(5)
 sage: R.<x,y>=F[]
 sage: I=Ideal(R, [x, y])
 sage: S.<x1,y1>=QuotientRing(R,I)
 sage: print x1^2
 0
 sage: print (x1^2)^2
 0
 sage: print x1^4
 0
 sage: print x1
 0
 sage: S
 Quotient of Multivariate Polynomial Ring in x, y over Finite Field of size
 5 by the ideal (x, y)
 }}}
 I wouldn't know how to create a meaningful doctest for this problem, so
 I'm giving the 'wontfix' a positive review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8005#comment:2>
Sage <http://www.sagemath.org>
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and MATLAB

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